Finding the Third Proportional to 102,015.75 and 155,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,015.75 : 155,280.50 = 155,280.50 : x
2. Step 2: Convert to fraction form
   102,015.75/155,280.50 = 155,280.50/x
3. Step 3: Cross multiply
   102,015.75x = 155,280.50 × 155,280.50
4. Step 4: Simplify right side
   102,015.75x = 24,112,033,680.25
5. Step 5: Solve for x
   x = 24,112,033,680.25/102,015.75
6. Step 6: Final answer
   x = 236,355.99